Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 12 (2016), 045, 45 pages      arXiv:1508.01752      https://doi.org/10.3842/SIGMA.2016.045
Contribution to the Special Issue on Analytical Mechanics and Differential Geometry in honour of Sergio Benenti

Variational Sequences, Representation Sequences and Applications in Physics

Marcella Palese a, Olga Rossi bc, Ekkehart Winterroth ad and Jana Musilová e
a) Department of Mathematics, University of Torino, via C. Alberto 10, 10123 Torino, Italy
b) Department of Mathematics, Faculty of Science, University of Ostrava, Ostrava, Czech Republic
c) Department of Mathematics and Statistics, La Trobe University, Melbourne, Australia
d) Lepage Research Institute, 783 42 Slatinice, Czech Republic
e) Institute of Theoretical Physics and Astrophysics, Masaryk University Brno, Czech Republic

Received September 22, 2015, in final form April 26, 2016; Published online May 02, 2016

Abstract
This paper is a review containing new original results on the finite order variational sequence and its different representations with emphasis on applications in the theory of variational symmetries and conservation laws in physics.

Key words: fibered manifold; jet space; Lagrangian formalism; variational sequence; variational derivative; cohomology; symmetry; conservation law.

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